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Finding the Fourth Proportional to 2,118.90, 3,178.44 and 658.08

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Solution

The fourth proportional to 2,118.90, 3,178.44 and 658.08 is: 987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.90 : 3,178.44 = 658.08 : x
  2. Step 2: Convert to fraction form
    2,118.90/3,178.44 = 658.08/x
  3. Step 3: Cross multiply
    2,118.90x = 3,178.44 × 658.08
  4. Step 4: Simplify right side
    2,118.90x = 2,091,667.80
  5. Step 5: Solve for x
    x = 2,091,667.80/2,118.90
  6. Step 6: Final answer
    x = 987.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.